Finding the Fourth Proportional to 10,154.81, 14,013.72 and 5,906.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,154.81 : 14,013.72 = 5,906.09 : x
2. Step 2: Convert to fraction form
   10,154.81/14,013.72 = 5,906.09/x
3. Step 3: Cross multiply
   10,154.81x = 14,013.72 × 5,906.09
4. Step 4: Simplify right side
   10,154.81x = 82,766,291.55
5. Step 5: Solve for x
   x = 82,766,291.55/10,154.81
6. Step 6: Final answer
   x = 8,150.45